Assume that all measurements are free of gross error and corrected for all systematic error.

Practical Case | Theoretical Case | |

No. Of Observation | n->finite number | n→∞ |

Variable | Random Sample | Random Variable |

Estimate | Mean | True value |

Errors | Residuals | True Errors |

Spread of Errors | Relative Frequency | Relative Frequency |

Probability Distribution Histogram | Probability Distribution Function |

where,

Graphical example ofi. Probability distribution histogram

ii. Probability distribution function

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